寻找: to seek, to look for...
使者: emissary, envoy...
规律: rule (e.g. of science), law of behavior, regular pattern, rhythm, discipline...
认错: to admit an error, to acknowledge one's mistake...
自满: complacent, self-satisfied...
签署: to sign (an agreement)...
喝: drink...
陡: steep, precipitous, abrubtly, suddenly, unexpectedly...
尖: point (of needle), sharp, shrewd, pointed...
可乘之机: an opportunity that can be exploited to sb.'s advantage, an opportunity that can be made use of by another to one's disadvantage, readily exploitable loopholes...