Questions about SRP algorithm

Question

I trying to use SRP algorithm but I have some questions:

1. Is that a good choice to use for registration and authorization SRP algorithm with SSL/TLS? And for all other transmission using just SSL/TLS? I will use C# Sockets for implementation.

2. How to generate g, k, N? Is it safe to use these like app constants?

3. Is that SRP algorithm right?

   //M-modulus, g-generator, k-multiplier, I-username, p-password, s-salt, v-pass verifier

   Registration:

   Client: s = randomString(); x = Hash(s, p); v = g^x %N;

   sendToServer(I, s, v);

   Server: save(I, s, v);

   Authorization:

   Client: a = random(); A = g^a %N;

   sendToServer(I, A);

   Server: if(A != 0) { b=random(); B = k*v + g^b %N;}

   sendToClient(B, s);

   u = Hash(A, B);

   if(u == 0) abortConnection();

   Client: if(B == 0) abortConnection();

   u = Hash(A, B);

   if(u == 0) abortConnection();

   x = Hash(s, p);

   S = ((B - k*(g^x %N)) ^ (a + u*x)) %N;

   K = Hash(S);

   Mc = Hash( Hash(N) XOR Hash(g), Hash(I), s, A, B, K);

   sendToServer(M);

   Server: S = ((A*(v^u %N)) ^ B) %N; K = Hash(S);

   Ms = Hash( Hash(N) XOR Hash(g), Hash(I), s, A, B, K);

   if(Mc == Ms) {Rs = Hash(A, M, K); sendToClient(Rs);}

   Client: Rc = Hash(A, M, K);

   if(Rc == Rs) ALL_OK();