Yes. But the sea levels have been rising continuously since the time of the last glacial maximum. 10,000 years ago they were rising at a rather more dramatic rate, too.
Yep! My favorite bit of what went on during the end of the last glaciation is the way that it happened unevenly, a sedate constant flow of water from ice to the oceans interrupted by centuries here and there where sea level rose by at least 2-5 centimeters a year. Presumably that's what happens once an ice sheet becomes unstable and pieces of them collapse quickly and nonlinearly.
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