...はむりだ... => impossible N4
Description
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
切る => Give up, stop... N3
Happens next
より(も)むしろ => rather; instead; better ~ N3
むりに => Try to..., make an effort to... N3
Necessity, obligation
切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
…にはむりがある => difficult to do; is unreasonable / unrealistic / impossible N3
Vague
むき => facing towards N3
Direction
[切「き」]れない => Can't finish/complete A N3
Potential, Possibility
むりをする => to work too hard, to try too hard, to strain oneself N3
Description
むしろ => rather; instead N2
Compare
込む => to be crowded N3