About the lack of communication with the kids during your week off, have you considered paying them a visit at school/daycare/camp? My kids are easily available during lunch or playtime or from 3:30 pm onwards where it becomes free play. I sometimes stop by to say hello, collect a hug or two and drop a few kisses.
M39 D6 D3 (at S) S 2014-09 D 2016-09
"You can't start a fire sitting around, crying over a broken heart" - Bruce Springsteen.