Your line is fine. Preflop/river are the closest streets. With 169 hands you won't have a reliable sample for BB's 3b tendencies, but from the 21/16/13 stats you can suppose he's a competitive regular. If you think BB is likely to be taking advantage of the button's looseness, then you can expect him to 3b much more often than he would against an average CO open/btn call. In this case. BB might be 3betting as much as 15-25% here. Against a range that wide you'll probably want to mostly 4b shove AK simply to take advantage of all the money already out there.

On the other hand, if you think BB is 3betting closer to a normal amount for this spot, say 8-11%, then you won't necessarily want to 4b, especially if the button is likely to make very large mistakes postflop.

On the river, it seems reasonable for your opponent to consider betting as thin as AQ/AK himself, or to be bluffing. So I'd lean towards calling. On the other hand, if you think he'll underbluff or only valuebet 2PR+ then a fold would be fine.

You can also lead river into your opponent for around 33% pot here if you think he's unlikely to value bet worse but bluff in something approaching an optimal frequency and if you think he'll often call your lead with worse. I think this is somewhat likely to be true.

Thanks Ben for evaluation. I think calling with no info is better option at the moment. BB might be on the looser side with 3betting from what I have noticed vs me and other players but still need more sample.