The primary section of my gmail account is not receiving/showing emails has been like this since the week-end & has been happening for the past few week-ends, but mainly week-ends only, keeps saying no offline messages
There doesn't seem to be a way to do that at Gmail so I'm assuming you're talking about your client software that downloads it. Are you behind a server? If so, check with the server admin to see if weekends are deferred until a later time for some reason.
If it is the online version giving you grief go to settings click the labs tab and click on escape hatch (it's a highlighted https/ address ) and see if your messages come back.