Kruskal-Wallis test for two groups

Question

[huynguyen96.dnu]

Hi all, I used a clustering tool to partition samples into two groups. Next, I want to see the statistical differences between them in terms of clinical features: Lymph nodes (continuous variables) and tumor stages (categorical variables)

Now, I used Kruskal Wallis test for the two clinical features above instead of Wilcoson sum rank test for Lymph node and Pearson's Chi-square for tumor stage. Is it accepted theoretically?