"Are there a maximum number of filters that can be used?" Not that I know of.
Can quick filters on one dashboard be in conflict with another? Yes, absolutely.
If you are able to post a packaged workbook, we can take a look and figure it out for you. Conflicting filters can be confusing if you're just beginning to use Tableau--but read up on filters, and you'll get the hang of it. They can be applied to individual, multiple, or all sheets in a workbook (assuming they're from the same data source).
Also, are you experiencing this in Desktop or Server, or both?
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I had this problem today as well. The way I resolved this was to go to:
Analysis-->Quick Filters-->Enable Auto Update