I've seen a notice that the Many Glacier lodge and Swift Current motel in are closed rest of summer 2020. Correct? Also, heard that cannot drive to trailheads near Swift Current -- up into the glaciers of that location. Is this all correct?

The going to the sun rd is not open passed Avalanche lake trailhead to cars but some bikes and hiking can take place. Apgar village and West Glacier village are open. I'm not familiar with the location you are asking about. But if you were to call one of the places in these villages they can help you.

Kim Walter is absolutely correct.

Yes that's correct, as of right now the whole east side of the park is not open