Is there parameter recommendation of DSA or RSA? I know there are recommendations of elliptic curve parameters (such as NIST P-xxx).

Are there recommendations of DSA (or DLP such as Schnorr signature) or RSA parameters? 

If not, why?
Are there recommendations of DSA[...]?


Yes, but you really want to verify these parameters yourself. DSA uses - as parameters - $(p,q,g)$ such that $q\mid p-1$ and $\operatorname{ord}(g)=q$. Among other things you want to verify that $q$ is prime, that $p$ is prime, that $q\mid p-1$ indeed holds, that $g^q\bmod p=1$ (ie that $g$ has the alleged order), that $p&gt;2^{2047}$ and that $q&gt;2^{255}$.


  Are there recommendations of [...] RSA [..]?


No, but you can re-use the public RSA exponent safely. To understand what can  be shared and what not, we first need to understand the relevant RSA parameters which are $(N,e,d)$ such that $ed\equiv 1\pmod{\lambda(N)}$ where $\lambda(\cdot)$ is the carmichael function. Now note that $(N,e)$ forms the public key and given just $N$ recovering $e$ or $d$ from each other is equally hard (ie as hard as brute-forcing the value). Note however that given a valid $(N,e,d)$ one can recover the factorization of $N$ (by applying the classical part of Shor's algorithm) using which one can break all other key-pairs $(N,e')$ (by the same way you'd normally find $d$ when generating the key), so sharing $N$ is out, but sharing $e$ is fine and commonly done with the value $e=65537=2^{16}+1=F_4$, where $F_4$ is the fourth fermat number.