Three week licensed HAM here, so be nice.

I have a Yaesu FT5D. I bought a Zum Mini Pi-Star hotspot last weekend and successfully got it set up for YSF Mode. I've talked to folks in Japan, New Zealand, Alabama, etc. in this mode.
Questions:
1. If I want to add DMR or S-Star mode for doing the same thing, can that be done or do I have to get a separate hotspot for those modes?
2. Will my Yaesu radio be able to RX/TX with DMR and D-Star over the hotspot?
Thanks in advance.