If it worked perfectly on the left field, but not on the right field, it sounds like a problem with that individual field. Did the other teams with problems play as often as you did on the right field?
You said it stopped during pushing matches. I want to know the exact configuration of your wheel base:
How many motors are you using on your wheels?
What type of motors are you using on your wheels?
How are these wheel motors wired (are they in a power expander)?
Are there any gear ratios on your wheel base?
We had very similar problems to this, with details in this thread