I measured a new one, Panasonic FK serires 16V 10uf(Low esr), the ESR
reading is 1.4, and the old one are about 10-17(the cap's brand is
unknown)

The good value on the chart is 1.6.

Should i replace them if they are at least 6 times larger than the
value on the chart?

To consider a cap is bad ,How many times the ESR value has to be
larger than the good one ?