Engine surging drops rpm,noticed that when rpm drops fuse box in engine compartment makes clicking noise , has new battery,plugs, wires,coils.

Do you have a volt meter ? How to voltage drop test starter motor circuit Here is a site for wiring diagram http://www.bbbind.com/free_tsb.html Enter your vehicle info.Year, make , model , an engine size. Then under system click on engine , then under sub system click on charging system (starter system is also under that ) Then click the search button , then click on the blue link . You can issolate the starter circuit at the starter relay in the under hood fuse box , to see which side of the circuit is bad , control or the load (starter) side . If you pull the relay out of the fuse/relay box an look on the bottom you will see four numbers 86, 85 & 30 ,87 .If you were to take a piece of 12 gage wire an jump where 30 & 87 plug into the fuse / relay box . And if the starter spins the engine over you just eliminated the starter , battery cables , ground circuit as not being the problem . This would indicate that something on the control side was bad , Park neutral safety switch , ignition switch . But before replacing parts some electrical testing should be done . Hope this helps an if you have an questions let us know .

Where's the clicking noise coming from ? Under the dash , under the hood in the engine compartment ? Do starter circuit voltage drop test ! When the key is in start position is there constant B+ voltage at the 10 amp crank fuse in the under hood fuse box ? This is an input to the PCM - engine computer to energize the starter relay ! Starter Voltage Drop The battery is good , starter is new ,what about the cables ? watch this video on testing starter circuit !

First I would look for voltage drop of both end of battery terminal.not a look or seem tight . you have to do it (voltage drop) and terminal at alternator.
now does alternator charging. take voltage of battery
if the problem occur have voltage of battery taken
like I read your problem it looks like wiring terminal ground and positive
the noise you hear is probably low voltage to a relay and the dropping voltage make the relay switch inside relay cycling noise click or buzz

hi.
see if this link helps you out.
EFI 15A Fuse keeps blowing on my 1992 Toyota Paseo Google Search

GM coilpacks are notorious for going bad. Start engine and one by one pull off spark plug boot from coil. You won't need to pull it completly off, just enough till you notice and idle change. You will also hear the sound of the spark jumping the gap you created. You may hear a click or pop noise over and over. If there is no idle change and popping noise when you remove that wire from the coil, then you have a dead post and will need to replace coil pack. If I remember correctly there are 3 coils that fire 2 cylinder each. Replaceing all 3 is generaly a wise decision. But you can get by with just the one that's faulty. Also those cars develop harmonic balancer issues; but they are rare. Lastly motor mounts will give you similar symptoms. Set the parking brake if it still works; or firmly apply foot brake, have an assistant do this while you watch the engine. The assistant with the brake firmly applied will start the engine and put the trans. Into reverse, the assistant will then quickly tap the gas pedal quickly. You watch the engines responce. It is supposed to move a little; but if that engine looks like it wants to jump out of the engine compartment you will need 1 or all mounts replaced. Repeat steps with trans. In drive if you did not notice excessive engine movement with it in reverse. If the engine appears to be in there securely then your mounts are fine. Both of these tests are easy to do.

Sounds like your alternator is out. Did you do and electrical system check since you replaced the battery?

Remove the top cover on the valve cover concealing the coils. Remove and inspect the spark plugs, and replace as necessary. Start the engine and see if the miss has been eliminated. If the miss is still there, a problem could also exist in the wires or coil or even the fuel injector, which will all need to be addressed as the diagnosis progresses. A fuel injector will cause the same type of a miss if it sticks.

2 Mist the spark plug wires, and watch for evidence of arcing to the cylinder head cover. This will indicate a bad wire. If this is visible, then replace the spark plug wires.

3 Turn the engine off, and loosen the wires at the coil by giving them a twist and pulling them out of the coil. Leave them on the coils--you just want to loosen them a bit to make the next step easier.

4 Start the engine. Using a pair of pliers with insulated handles, pull one plug wire out of the coil at a time and watch for a noticeable drop in engine RPM. The cylinder that has no drop or noticeable decline in RPM is the one causing the miss. Also when the wire is removed, watch for a good spark at the coil to the wire when the wire is held close to the coil. This could indicate a bad coil if the plug wire checks out fine.

5 Check the suspect wire with the Ohm meter, and test for continuity through the wire. If there is continuity, the miss is still present and there is no spark to the wire when it is removed from the coil, replace the coil.

6 Check the fuel injectors. If the plugs and wires are good and there is a spark at the coil to wire test, then checking the injectors is the next step. If this is fine, then a compression test should be done to locate an internal engine problem. Start the engine, and remove the electrical connectors to the fuel injectors one at a time and listen for a significant engine RPM drop. If one cylinder is found to make no difference or very little in comparison to the others, replace the injector.

its an electrical problem may take awhile to find

code p 0320 refers to crankshaft position sensor (CKP)/ engine speed (RPM) sensor --circuit malfunction===causes wiring---CKP/RPM sensor--ECM
from your statement of moving coil wires and it temporarily fixed the fault , I suspect wiring failure to the tacho( RPM sensor) as the RPM sensor works of coil impulses
by moving wires you may be altering the circuit fault for the CKP sensor
take it to an accredited service center for a proper diagnosis

Check fuses inside the engine compartment. Remove each one, and plug it back in, to make sure it has a good contact.