Creating my own banner

(Inspired after seeing how giffgaff users/form members promote their referral links )
Planning to re-start creating zines, set up a website and start listing again here - if I created a store type banner with my own with my own graphics plus ebids logo & text along the lines of I sell on ebid. <blank> fanzine sold on ebid, put it up as a ad banner on my site & and linked it with either my buddy points / affilate link / store link -

&/or had a link to my store on flyers for the zine
Would ebid be ok with that?

Not quite sure what you are asking (or what 'zines' are), but eBid are happy for you to link to the eBid site (by any of the entry points you mention) - but not the reverse i.e. you are not allowed to place links on eBid that link to any e-commerce enabled site.

As for using the eBid logo, they are generally relaxed on that issue (even providing the original artwork), but, if you intend using the logo in a way that could impinge on their rights, then best get the OK from them directly.