The existence, form and influence of synagogues in the Galilee during the life time of Jesus is disputed, along with the presence of Pharisees there in Jesus' time. On synagogues, see Donald Binder's Second Temple Synagogues web site: 
Marcus J. Borg
In Conflict, Holiness and Politics in the Teachings of Jesus, Borg cites the story of the healing of the woman with the vaginal bleeding in his discussion of holiness as transforming power:
... in the teachings of Jesus, holiness, not uncleanness, was understood to be contagious. Holiness - the power of the holy, of the sacred - was understood as a transforming power, not as a power that needed protection through rigorous separation. (p. 147) [as with Jesus touching the leper] ... the same transformation of the understanding of holiness underlies the account of the healing of the woman with a discharge in Mark 5:25-34. Her condition rendered her and all that she touched unclean (Lev. 15:25-30). yet when she touched Jesus' garment, it was not uncleanness that was transferred but rather "power went forth" from Jesus (5:30) and she was healed. (p. 148)
The commentary in Acts of Jesus (pp. 80-83) outlines the Seminar's reasons for affirming (with a Pink vote) the historicity of the healing of the woman with a discharge, but only gave the healing of Jairus' daughter a Gray assessment.
John P. Meier
Meier [Marginal Jew II,710 & 787] concludes that the historicity of neither story can be affirmed.
In The Historical Figure of Jesus (pp. 144-45), Sanders does not indicate any historical judgment on these two stories.
Mahlon H. Smith
On the Pharisees, and the question of whether they were active in Galilee beofree 70CE, see Mahlon Smith's summary in the CrossTalk archives.