てっきり...と思う => surely; certainly; without a doubt N3
をかわきりに => Starting with A N1
Miscellaneous
きり => Only A N3
Degree. Level, Amount
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
きり => only; just; since; after ~ N2
きり => only; just; since; after ~ N3
~きわまる/きわまりない(~極まる/極まりない)      => extremely; very ~ N1
…とばかりおもっていた => Thought that ... N3
Speculation
[極「きわ」]み/[極「きわ」]まりない => Extremely A N1
Degree/ Level/Amount
きっと => surely; undoubtedly; almost certainly; most likely N4
... ばかり => About … N2
More or less in quantity
いきなり => abruptly; suddenly; all of a sudden; without warning N2