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This is likely to be an unpopular opinion - but my first gun was an HP 995ts, and I would recommend it fairly strongly for anyone who is just getting into guns.
As firearms go, it's cheap as fuck. It can be had, fully accessorized - flashlight, laser, mag clips, side-mounted picatinny rails, foregrip, optics and recoil compensator (if that stuff appeals to you) for less than $400-$450 (if you don't care about that stuff, it's more like $250-275 naked). Which puts it well inside your price range. It looks much better than it's ugly-as-sin predecessor, and it's a fairly lightweight all-rounder (I'd be confident with it in a HD situation, and it's great for 50-75 yard plinkan). Though it is considerably heavier with all of the aforementioned niceties attached. The increase in weight was most noticeable when I attached loaded mags to it using the mag clips - although I'm not a huge guy (5'10.5, 220lbs) and it was still more than acceptable for me.
By now I've put more than a couple of thousand rounds through the thing, and have yet to experience any significant problems with it. It's pretty much my go-to whenever I want to hang out with some buddies and blast some shit.
My only real complaint with the weapon is that it doesn't have any reliable high-cap mags. A company called Promag makes a 15 rounder (standard is 10) - but unfortunately, I've experienced nothing but problems with it - and many others will attest to their unreliability. I'd stay away from them if I were you.
The carbine also comes in .45 and .40 S&W variants if you don't mind spending more on ammunition.