Retake with a 1470???

I got a 1470 with 710 Reading 760 Math. If I retook I know I could definitely crack 1500 (confident on 800 in math next time around just made stupid mistakes on this one) and think I could get around a 1530.
Will this help more with the main colleges I am applying to for engineering: UVA (top choice, instate), VT, Lehigh, & Umich? I would be applying with a 4.15 W and pretty good (from my view) EC’s/Teacher Recs/Essays. It would be a quick turnaround since I am applying in the fall and would need the scores to come on time from the October Sat. Will these Colleges care between 1470 to a 1530 at least a little or will they not care at all unless I could break 1550’s?

In same boat , anyone with perfect score please guide

I’d try again tbh. There’s no real harm in doing so (except $ and time, of course).