I'm trying to help improve friend's play who is just starting out and sat in with him at a 10NL table and introduced Poker Tracker to him and trying to put people on hand ranges.

The following hand came up and I've had criticism of the way I played it.

Small blind is a tight player with solid stats 20/15 and seems to be playing ABC poker. Big Blind is loose aggressive running at around 35/25.
10NL - Poker Stars
5 handed
Stack sizes
Button $8
Hero $12
UTG$9
Small Blind $8.80
Big Blind $3.20
Hero dealt 8 8

UTG folds
Hero raises to 0.40
Button folds
Small Blind calls
Big Blinds raises all-in for $2.80

My best play?

I'd put likely ranges for both as follows:
Small Blind: AQ,TT-22
Big Blind: AQs+ AK, any pair, some bluffs

Are these ranges I've guessed accurate given the stats and if so how should this dictate my play?

Your range for SB seems OK. Your range for BB seems a bit tight as he will probably shove AT+ for sure, maybe any A, any pair and some big Ks and random bluffs.

Your play is to isolate BB, so I would raise. It doesn't really matter how much as you will pot commit yourself anyway. I usually just min-raise in spots like this.