Most likely issue is a motor mount collapsed. The second most likely is a misfire.
What is the fluid capacity of a Toyota Corolla automatic transmission 3.3 Qts drain and fill
Yes, the automatic transaxle has a metal mesh/screen type of filter. They are designed to be cleaned and reused - as they trap only excessively large particles from being recirculated in the transaxle.
on the transmission. and it requires gear oil
You go by the manufacturer's recommendation.
Your owners manual will tell you.
If it is an automatic transmission every 30 thousand miles.
1995 Toyota Corolla automatic transmission won't go sin any gear
every 50,000 miles if it is an automatic trans.
It would be cheaper to repair or replace the automatic transmission. There are too many differences between a standard transmission and an automatic to economically swap in a standard.
It has no differential plug.
when gm took over Toyota they did a lot of cars with the same engines. look at the engines in both, if they are the same engine then they should be nearly the same transmission
If it's a 2003 - 2008 Corolla, I can tell you. Please respond with the year. Or, better yet, look up "Automatic Transmission" in the index of your owner's manual. The manual has good diagrams to help you along.