Responses
for the first part, I think it's this maybe:
http://www.mangago.zone/read-manga/atarashii_joushi_wa_dotennen/
and try this for heartwarming:
http://www.mangago.zone/home/mangalist/800775/?filter=&page=1
It was a manga in which the boss was "really cute" in contrast to the mc's previous "hellish" boss. All the chapters are pretty nonsensical without plot, ie: There's a chapter where the boss warns the mc about a scheduled fire alarm and then forgets about it himself; when the fire alarm goes off the boss panics and rushes to get the mc, which he finds really heartwarming.
And other heartwarming recs, if any, please! I really appreciate it. Thank you for taking the time to read this!