Findmypast would be the place to look for army records. There are lots of Thomas Kerrs on there but I couldn't see one the right age born Paisley. I haven't got a sub, so I couldn't look through them for one who was Colour Sergeant in the 34th Regt of Foot but there was one born Antrim who I would look at if I could!
The marriage does look likely apart from the problem of Olivia's surname, doesn't it? If you could get a look at the full marriage entry it might give you enough info to be sure it it's your Thomas, at least, and maybe it will give you his father's occupation. Maybe it will turn out that Olivia's surname has been mistranscribed.
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