My wf310 1100 spin will not do a high speed spin

Control board issue most likely. Probably the motor control board if it has one.

Early automatic washers used a motor with multiple windings to provide the various speeds required by different parts of each wash programme. Modern washers use an entirely different sort of motor and the speeds are selected and controlled electronically with feedback to ensure the speed is correct.

I suspect the problem is the electronics - the part of the programmer and controller that regulates the motor speed but you should check the motor and motor brushes, the drive belt and all electrical connections as a matter of best practice before you spend money...

Water pump screen is plugged. Will not drain properly even though it goes into high spin.

It is the brain of the washer that decides when the spin takes place and how fast - the brain knows how fast the motor is spinning because there is a speed sensor, probably on the rear end of the motor shaft.

There might be bad connections to the speed sensor or it might be broken but if that and the wiring is ok the fault is probably with the controller/brain, though it is possible the brain refuses to do a high speed spin because for some reason it might (mistakenly?) think there is still too much water in the tub.

you need to see if the motor turns one direction during wash and the other during the spin. If so, your gearbox is faulty and needs replacement. If motor only goes in one direction at all times, then very possible, the timer is faulty.

uE is unbalanced error. When you have bulky items, wash them with a slow spin speed. Larger loads actually balance out better, so adding items might help instead of subtracting them. After the cycle completes, if you want to you can turn the power on again and (without selecting a cycle) just push the spin speed selector button and select the next highest spin speed. The load will most likely make it through the next higher speed now that it is partially spun out. You should get a 14 minute spin and pump only when you start it now.

Slow agitator could be linked to shaft bearings going south. Pull the agitator off and check the block on top of the shaft. With everything turned off, try to turn the shaft. It should turn freely both ways. Other things to slow down the works could be a very worn drive belt from the motor.
The lid switch problem seems to be a wiring short--trace the wiring back from the switch to where ever it ends up (at the timer?). If it winds up at a relay, the contacts may be stuck together. It would be nice to have a wiring diagram--ah well. Don't know if any of this helps, good luck.

Don't know the model but if it is a two speed model and is clicking off and on when set for high speed spin but seems to start up and spin OK in slow speed spin, you have a bad motor

possibly a faulty "off-balance" detector, but not sure...try to purposely make it go off balance during wash...maybe a few pairs of sneakers?

make sure u are not under loading the washer with just one or two items and that the load is fairly balanced or else the machine will not go into high speed spin as to not go completely off balance and walk across your floor if that doesnt fix it you might need a new ccu or motor control board probably the second one and make sure u are using HE detergent and not too much because suds will lock the pump up which will not spin with water in the unit