No. That is an analog radio.
Yep.
XTS 1500s or their European clones can be found pretty cheap.
800 xts3000s can be picked up on ebay real cheap. You probably will have to have them reflashed for p25 trunking by someone though. The 3K is a very nice radio for less than $200.
If your on a 800 p25 system, you might contact the system admin, (you will have too anyway to get your radio set up). They may have radios your group can get assigned.
EDIT: I just checked, and it looks like you guys are using the state TRS, I think you best bet is to check with your system admin. Often bigger TRSs have radios for purposes like yours. Also, big TRS admins don't tend to like to put radios on their system that are not procured and programmed by then.