Hatsan "may" (?) need a bit of work to be just right, some could have minor metal shaving in the valve area and ????? As long as your up to dealing with this likely a good rig.
Noted last week the AT44 refurbished listed at $295.00 US at that price "I" would get one, for closer to 6-700 no thank you.
How far to your closest club?
Other airgunners near you?
For the critters you have listed most any airgun would work. A Discovery or the maximus would be about bottom dollar.
John