Hi Kritika,
You have to consider the quality of your sequenced library if your
paired-end reads are all discarded due to ambiguous cut sites, and then,
if you disable that check they are disabled for low quality purposes. If
it is just an isolated problems where you have Ns in the first few
bases, but the rest of the read is fine, you can NOT use the -c option
(and only the -q option) which discards reads with Ns.
You could use a program like sed to correct your cut sites, since you
know the sequence. Again, I would only do this if the problem is
isolated to the cut site, and not if you have general quality issues
with the entire read.
Finally, you can just use read 1 and combine your reads together as you
suggest. These are stored in separate files to keep the paired reads in
phase (so the first single-end read finds its paired-end read also as
the first read in the paired-end file).
Best,
julian