All pairs of two primes are coprime. There are fifteen primes under 50. So that means there are 105 unique pairs of "coprime primes", or more generally, pairs of primes, under 50.
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Any number greater than one can be co-prime. I guess the answer is 49.
One pair of twin primes between 135 and 145
There are 9592 primes.
(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73)...Many more are known. Search the Internet for "twin primes". It is not known whether there are infinitely many twin primes.
There are infinitely many primes. There are 24 prime numbers between 1 and 100