Guo's extension of two q-congruences modulo the square of a cyclotomic polynomial

Let $n$ be a positive odd integer, let $(a;q)_k$ denote the $q$-shifted factorial, and let $\Phi_n(q)$ be the $n$th cyclotomic polynomial. Guo's conjecture. Modulo $\Phi_n(q)^2$, the following two congruences hold:

$$\sum_{k=0}^{n-1}\frac{(q;q^2)_k(-1;q^2)_k}{(q^2;q^2)_k}q^{2k}\equiv \begin{cases} q^{\binom{n}{2}}&\text{if }n\equiv1\pmod{4},\\ -q^{\binom{n+1}{2}}&\text{if }n\equiv3\pmod{4}, \end{cases}$$

and

$$\sum_{k=0}^{n-1}\frac{(q;q^2)_k(-q^2;q^2)_k}{(q^2;q^2)_k}q^{2k+1}\equiv \begin{cases} q^{\binom{n+1}{2}}&\text{if }n\equiv1\pmod{4},\\ -q^{\binom{n}{2}}&\text{if }n\equiv3\pmod{4}. \end{cases}$$

These conjectures extend two previously established $q$-analogues of a supercongruence for central binomial coefficients. The source attributes them to Guo's Conjectures 1 and 2; no resolution is stated in the supplied text.