Radiator and adding water.

Min is the minimum amount needed in the reservoir to correctly operate the radiator . You should be filling to maximum as the difference between the two levels is what the radiator normally works with. . water level should be checked at the radiator cap as it is very possible to have a full reservoir but have an empty radiator. As long as the water level stays between the level marks then it is not necessary to top up the reservoir every day. If there is a drastic drop in the level or there is no change then I suggest checking the radiator cap once a week

Doesn't sound like it ran hot enough or long enough to crack or warp the head. If there is a crack, the engine will continue to overheat. If a warped head, car would probably run rough, the affected cylinders would likely have little or no compression, there would be a noticeable miss, and overheating would continue.
Why the low coolant? It's a sealed system, so should never have to add coolant, other than a small loss from evaporation in the overflow tank. Monitor the level closely for the next few days. Note the level in the overflow tank to see if it drops over time. Leaks can be external anywhere in the coolant system-engine, radiator, hoses, heater core- or internal in the engine-head gasket failures can cause coolant in the cylinders (white smoke out the exhaust), or coolant in the oil (oil will have a milky brown look to it), or oil in the coolant (will see traces of oil in the radiator).
A couple of tests may be called for. A pressure test of the coolant system will check if the system holds pressure as it should-about 15 psi. If pressure does not hold, there is a leak somewhere. Water pumps usually leak through the weep hole when they fail. A radiator leak would show up when pressure is applied. If pressure does hold, check if you have a good radiator cap-the cap is what seals the system so pressure will maintain. Coolant under pressure raises it's boiling point by about 10 degrees, so is critical to keep the system under pressure.
If you suspect further problems-losing coolant or continued overheating-then have the chemical test done to check for exhaust gasses in the coolant. Basically a check if the head gasket is good, a simple test done at the radiator cap opening with a special fluid that changes color if hydrocarbons are present in the cooling system.
Or you could have a compression test of the cylinders to check the internal mechanical condition-not only tells you if head gasket is good, also tells you a lot about engine condition-even,. balanced, good compression in all cylinders translates into good power output-rings are good, valves are sealing good, all systems go.
The cooling system: water pump, thermostat, radiator, hoses, heater core and hoses, radiator cap, overflow tank, and the cooling fans and associated wiring. Make sure everything is working right and you'll be good to go.

Check all of your hoses.

Also check the inside of the car underneath the dash to see if it is wet. It could be the heater core has a broken seal and is leaking.

Also put soapy water (dish washing detergent) on the hose connection points. If it bubbles they are leaking.

Check for blown head gasket if there is steam coming from the exhaust,also check that the theremostat is opening.

First, see if the radiator fans are running properly and the water pump belt is on correctly and there's no play in the water pump pulley. Check the front of the radiator fins for clogging. Then check the operation of the thermostat. If those check out, perform a cooling system pressure test on the system and the radiator cap.

Are you just refilling the coolant resevoir, or also adding antifreeze/water mix to the radiator itself?
When the engine is cool, remove the radiator cap and add antifreeze/water mix until the radiator is full. Leave the radiator cap off and leave the hood up and start the engine and let it idle. As the engine warms up the thermostat should open up around 180 degrees and allow the water to circulate in the radiator. If you see no movement of the water and the heat continues to rise to an unsafe temperature, your thermostat is stuck and needs replacement

Always check your hoses for leaks. Check also if your radiator has water while engine is shut off. Add water to your radiator and add the coolant in the reservoir if its empty. Start it and observe your engine while running and check the hoses if anything is leaking. Check underneath of the car if something is dripping. Observe your temp gauge if it rises. If you don't find anything leaking, you could check your radiator only after you let the engine cool down. If the water is drained inside the radiator, then the radiator could be busted. If you have a perfectly fine radiator and the hoses do not leak, then it could be the water pump that's defective. If you are unsure about the problem then have it checked in your local dealership or your friendly neighborhood mechanic.

If you've added two gallons of antifreeze, you need to find out where it's going. Make sure the antifreeze you are adding is diluted with water in a 50/50 solution. Pure antifreeze has little freeze protection and boils quickly. If there is no visible leak, check your oil for coolant contamination. Fill the radiator and leave the radiator cap off. Put the heater controls on hottest setting, but do not turn the heater on. Start the engine and watch the coolant. If the coolant level drops, add more to full. If the coolant is flowing thru the radiator when you first start the engine, the thermostat is stuck open and needs to be replaced. If the water is not flowing, then keep an eye on it and wait for the thermostat to open. Add antifreeze to keep the radiator full. Look for air bubbles or lots of foaming in the coolant. That would indicate a blown head gasket and the reason you are losing antifreeze. If there's no bubbles, and the coolant level stays full, put the radiator cap back on and see if the heater is working better.

adding antifreeze on its own can be bad for your motor.. it needs to be added with water.. does it leak from your radiator cap/ overflow hose or from the radiator core.. ckeck you thermostat as well. it stays closed when the water is cold and opens when it gets hot.. it sounds like it could be stuck shut..

leaks ..it has a leak, i suggest you to dismount the radiator it may be has a leak that could be dried due to the heat, you can also try to check all bypass hoses.