No it isn't. Easter is a Christian festival based on the Jewish Pesach. It has nothing to do with the Vernal equinox, based, as it is on a lunar calendar.
The point about Easter is that the name (in English) derives from the name of an ancient Saxon month named after an ancient Saxon deity and therefore makes a mockery of the Christian argument, expressed several times here, that they own Christmas just because of the name.
I agree on your second paragraph, but I'm not sure the first can be justified as the name is extremely important.
Were Christians in the UK to call Christmas, 'Yule' instead of Christmas I don't think it would be reasonable to conclude that 'Yule' is a Christian festival based on the nativity. Rather we would conclude that the Christian nativity festival had 'co-opted' an earlier pagan festival associated with mid winter and added their religious elements while retaining the name of that older festival.
While the origins of terms and the presence of festival in ancient times can be rather obscure, I think there is ample evidence of a spring (or dawn) goddess across germanic northern europe and even beyond with variant names being Ēostre, Ēastre, Ostara, Austrō etc.
Bede (who remember was writing at a time when anglo-saxon England was just transitioning from pagan to christian beliefs (when he was born there was still a pagan King in England) and undoubtedly there would have still been significant pagan religious worship ongoing is clear that there were festivals to Eostre at that time.
'Eosturmonath has a name which is now translated "Paschal month", and which was once called after a goddess of theirs named Eostre, in whose honour feasts were celebrated in that month.'
Interesting to note that Bede also refers to the Christianisation of the time of year to 'Paschal month' and elsewhere refers to the Christian festival as Paschal, which is of course its correct title in Christian terms - translated into English as Passion. But although virtually every other language describes the Christian festival as Paschal (or derivatives) for some reason in English the older pagan name of Easter stuck.