In my case, it is a little different, as I tow with my cars - hence my short oil change intervals on transaxles. Still, doesn't hurt to change the fluid sooner - as long as you are comfortable with the service interval - have the time to do the job and get the right materials.
As for fluids - depends on the car. Your 2005 Corolla uses Toyota Type T-IV AFT, conventional, highly friction modified ATF. The 2007 Camry uses Toyota Type WS AF, synthetic, low viscosity, long life fluid. They do make universal fluids - example Valvoline Maxlife ATF that spec'd to work with both Type T-IV and Type WS AFTs. I use them in my cars, but I know full well that they are "universal" fluids - they are markedly different in viscosity between the Toyota OEM fluids. One of those - probably be safe to run, but if stuff hits the wall - you'll be SOL on transaxle life. If you want to be absolutely safe - only buy the OEM fluids.
As for fluids types - you can use synthetic in place of conventional - as long as it meets the friction and lubrication needs.
The OEM transaxle pan on both your 2005 Corolla and 2007 Camry should be just a conventional gasket - not sealant, bolts get a dab of loctite or similar thread lock. The oil pan, on the other hand, uses sealant - no gasket, plus bolts. Filter and gaskets do sometimes come in a kit - but if you buy them from the dealership - all of them will be separate. Most of the time, you'll find the kits at other online and physical autoparts retailers. Lots of materials for gaskets - some are plain cork, some composite cork+rubber, some just rubber, some are more exotic composites. Bottom line, just make sure the gasket fits the transaxle and you should be OK.