Get a Freeview PVR, one with streaming features if you want it all in one source device.
You'll also need amplification and speakers.
The hook-up goes like this:
- TV aerial and Internet to PVR
- HDMI out from PVR to projector (long HDMI lead)
- audio out from PVR via optical or analogue stereo to amp - this is subject to the connections on the PVR, and requires an amp with appropriate inputs
- speaker level out to speakers (and sub?)
Most commercial bars have some kind of audio system, and it's usually run from an amp behind the bar. That amp may or maynot have a digital audio input, so you might want to check on that first. Piping sound through the bar's existing PA saves costs and saves time rigging up speakers and a separate amp, but you might then need to bring the aerial feed to that point to locate the Freeview PVR there. (Optical is limited to 5m cable run with consumer-grade optical cables)
Start by looking at the site and where you think the projector and screen need to go. Keep in mind that putting the projector on a table is risky. People are dumb. Drunk people especially so. If someone can knock it, sit infont of it blocking the beam (yes, really), spill beer on it, mess around with the settings, pull a cable out, trip up over a cable or otherwise screw things up then they will. That's why most gear in pubs and bars is mounted up out of the way. Unless its an ultra-short throw projector placed right infront of the screen then think about putting it on the ceiling. It may seem like a lot of work for one night, but putting the projector on the ceiling is the safest option and you stand a better chance of making it through the event without a minor catastrophe.
Think about cable runs, particularly mains power. Gey a list together of what resources you have already and what it'll mean in terms of cable lengths to pull it all together.