The air conditioner fan and radiator fan does not start and the engine runs hottest than normal. Any relays or wiring problems ??? i did replace the thermal switch and coolant switch.

Check relay

Unless you are in a very hot climate, with no air con working the radiator fan does not normally come on.

The engine computer grounds the relay to make the fan run. Will the fan run if you bypass the computer and ground the relay ?

it would be faster if you unplugged the wiring harness at the fan motor , turned on the a/c and check for voltage if it shows voltage the fan motor is bad

Fan not working. Check connection under vehicle. Very common connection is bad. Are has been pulled loose from someone hanging a droplight on it while changing oil or working under PT. Run a hot wire directly to fan to check high side and low side operation. If operating and connection is good. Check temp sensor located by radiator fill cap not overflow. Has a single wire. Relay is in fuse box under hood. The fan connection can be cleaned and will work for a while. But I have found it comes loose in a short amount of time. I just cut the connector off and install aftermarket. There is a lot of over heating problems with PT.

The thing that you are bridging is called a fan relay.
you need to replace that,in the meantime you can bypass the relay by attaching the wires together.
If you need to see if the fan is working without waiting for the engine to warm up, just flip on your air conditioner which will in turn start the fan cooling system right away.

YOUR AIR CONDITIONER PUT LOAD ON ENGINE CHECK TO MAKE SURE RADIATOR COOLING FAN RUNNING BECAUSE IT HELPS TO KEEP THE ENGINE COOL AND AC CONDENSOR COOL FAN NEED TO BE RUNNING IF NOT CHECK COOLING FAN FUSE OR RELAY.

The radiator fan should come on when car reaches normal operating temp,With engine at Idle and temp normal feel the top radiator Hose ,it should be hot,If no then Engine coolant is not moving-cause could be an "Air lock" if that is the case,turn key off until it cools then disconnect top Hose and start engine,at normal temp,you should have Engine Coolant coming out,turn key off let engine cool;reconnect and refill with a 50/50 mix;

Back to the Fan problem;the Fan should come on when engine temp is normal,if not turn the Air-Conditioner on,radiator Fan should come on at any temp;two checks ,one is the Fan Relay ,located in the under Hood main power supply box;There will be 3 or 4 relays for different systems since they are of the same part number swap and see if problem is fixed;if no check the Fuse in same power supply box;You said fans spin so they are not locked up;Take an eight dollar D.C. circuit tester,they look like an ice pick with a clamp for ground attach,to ground and with the fan plug disconnected see if you have voltage; ,You can have a continuous fan by finding a wire close to the fan that has power when the key is in the on position,take a wire and attach to that wire;

You should check the 30 amp "RDI" fuse and the 7.5 ECU-IG fuse. Both fuses are critical to the operation of the fan system. The RDI fuse sends power to the fan #1 relay. The A/C amplifier turns on power to the fan #1 relay, this is why your fan works on A/C.

Now, with no cooling fan under "normal conditions" (A/C off), you need to have a good fan #2 relay, and a good water temp switch. This switch is on the engine, near the thermostat housing (I think); with a single plug, with a white with a blue trace wire going to it. Remove this wire from the sender, and jump it to ground (anywhere on the metal of the engine) with the key on (engine OFF). If the fan starts, you need a new water temp sending unit. If not, then consider a new fan #2 relay. This system is pretty simple.

these cars have relays for the fans, replace relays and the fuses. if still dnt work, replace the temperature sensor. make sure u check the wiring, it may just b a loose wire.