I say press on. Can't have terrorists threatening your travel plans. A spot of missile action is always possible, I suppose.
FCO advice suggest you'd be fine if you stayed in Tel Aviv itself:
https://www.gov.uk/foreign-travel-advice/israel
TLV is a terrific place for a hot weekend, and I heartily recommend it, though avoid Dan Tel Aviv, pictured:
.....which despite the interesting ceilings in the renovated rooms is overpriced and offers among the worst service I've ever experienced:
....though of course very unlikely you'd end up staring at it.