[1] The headword (presumably extracted from the quotation given) is aorist indicative active, third person singular, of kataspila/zw (in sense II noted by LSJ s.v.). See also under sigma 943.
[2] A condensed version of Theophylact Simocatta, Histories 2.10.10: a)ta\r a)dokh/tws toi=s barba/rois e(wqino\s katespi/lasen a)fra/ktous te eu(ro/menos e)neudoki/mei tw=| do/rati peri/doco/n te a)pefe/reto tro/paion "But early in the morning he burst suddenly upon the barbarians, and finding them off their guard began to do honorable deeds with his spear and won for himself a glorious trophy."