Details of current fixtures and results can be found on the English Chess Federation League Management system (the "ECF LMS"). Go there by clicking here and return to this website by closing the new page.
To access the LMS without going via this page, the address is https://lms.englishchess.org.uk/lms/ and look for Surrey Border League under "Organisations".
Once you are on the Border League page on the ECF LMS you will find lots of clickable links at the top of the page, the one I found most useful is "Fixtures" which leads to a scrollable list of all fixtures in the current season. When you are on the fixtures page you can concentrate on any one of the league divisions/ competitions via the list on the left hand side of the page.