Applying for postdocs / lectureships - sorting bad advice from good (UK, mathematics)
My advice would be:


write more applications


Academic job hunt is a gamble. Boosting your CV does improve your chances, but it is still a gamble. There is no security in this game and no guaranteed strategies. Places which seem to be a 100% match can reject you without an interview, and places where you barely meet the role specification can shortlist you. There are often more criteria than are written in the job specification and there are often several competing agendas each Department wants to fulfil. 

A few months is not enough to publish your  best piece (review process may take years). Speaking at conferences may help, but realistically even if a professor will love your work and would like to hire you, they may not be able to do it immediately, unless they have funds to spare (very rare and unlikely situation in the UK). Organising a conference takes more than a year. 

tl;dr:  polish your CV and application pack, submit more job applications and (if you have time) prepare a Fellowship application, e.g. to EPSRC