Randomly Not Charging

[Moderns]

As the title states, sometimes my phone will not charge, even when it says charging while on the charger. Sometimes I have to move the cable right where it plugs into the phone for it to recognize its plugged in.

With the new update, A LOT of things are going wrong.

 

[Benton]

Two things come to mind:

Are you using a stock charger (like the one that came with the phone)? There are quite a few reports of issues with third-party chargers not working well.

I do not know if this will solve your issue(s) but did you perform a factory reset after the ICS update? Some people have had issues with their phones after update until they perform a factory reset.