Per Frank Seravalli, the full NY Rangers 1st round schedule has been confirmed. As mentioned, Games 1 and 2 will be on Tuesday and Thursday next week. The Rangers return home for a Saturday night showdown for Game 3 and Game 4 on Monday. They then have two days off before concluding the series the following Thursday, Saturday, and Monday.
Essentially the Rangers play every other day except between Games 4 and 5, which is a two day break. Each series has one stint of two days off.