After these things - that is, all that is recorded after Joh 5:18.
walked in Galilee - continuing His labors there, instead of going to Judea, as might have been expected.
sought to kill him - referring back to Joh 5:18. Hence it appears that our Lord did not attend the Passover mentioned in Joh 6:4 - being the third since His ministry began, if the feast mentioned in Joh 5:1 was a Passover.