Like the others, I'd answer yes to all three questions...
Now, keep in mind, though, that emulation makes for a strange Amiga. Depending on how high-spec the system you have is, you'll get varying performance levels out of the emulated Amiga.
You'll certainly want to use the UAE-Picasso 96 RTG drivers. This helps the Amiga behave more predictably. Especially on the slower systems. The AGA and ECS emulations are kinda strange. Some things will be lightning quick, and others will be slow, compared to even a modest Amiga. It wasn't until I picked up my current 3ghz P4 that I really thought the AGA emulation was about the same speed as an A4000 with 3640 card. I'm still not sure the AGA modes are as fast as my A4000 with CyberStorm 060. BUT, the emulated processor is about 400x faster. So, as you can see, that makes for a really strange system! However, using the P96 drivers makes the machine behave more balanced. It pretty soundly thrashes my A4000 in an RTG-enabled usage comparison. Which is about as scientific as you can get, as the emulation optimizations totally void most benchmarks.