Thanks to Chalicea for a puzzle that, as Malone says, is on the gentler side but still fun, nonetheless. Plus, it's been quite an eye-opener to learn about something I've lived next to for over half my life!
The answers to both these are clear but the parsings elude me...
10a - Father no longer obese in regressive primarily abdominal medical condition (6)
2d - Rustic British belief system in political philosophy (7)