These are my opinions.
That hotel is ok, but traffic between the airport and Channelside can be a bit challenging. As far as restaurants go, the area around the arena is in kind of an odd state right now (I think it's still lagging from the disaster of the previous owners and has not come back online yet). You can do Hooters (walking distance to Arena) and there are a few other places back there. Hattricks (very hockey friendly) is also walking distance as well, its a few blocks away from the TBFT.
Hattricks
http://www.sportsbartampa.com/
Keep in mind that we have a pretty good variety of venues inside the arena. You may want to hit the Bud Light Party Deck (also excellent for a post-game spot). There will also be all kinds of stuff going on the plaza.
As far as night life goes, well...i'd stack TB's night life up against any other cities. Depending on what you are looking for, you will find it. You can hit several clubs/bars/scenes depending on your style. PM me for further details on this if you like. Personally my new spot is the Bay Street restaurants at International Plaza. I go to Bar Louie and The Pub.
International Mall and Bay Street venues
http://www.shopinternationalplaza.com/dining_entertainment