Is this a two way ANOVA with replicates?

Question

I have the following results from a biological experiment. I measure the size of the sample (2,4,8,16,32 or 64) and count its distribution in a population of 50 (sum of counts=50). I do those measurements in the wildtype (wt) and the experimental sample (KO) in three independent experiments (replicate 1,2,3).

Am I in a setup for a two way ANOVA with replicates? How can I proceed rigorously, with the maximum power in R as I am not sure (1) my data is normally distributed and (2) how to code that in R anyway?

Thanks!

strain  Replicate   size    count
wt  1   2   2
wt  1   4   6
wt  1   8   11
wt  1   16  12
wt  1   32  9
wt  1   64  10
wt  2   2   2
wt  2   4   7
wt  2   8   15
wt  2   16  11
wt  2   32  4
wt  2   64  11
wt  3   2   0
wt  3   4   5
wt  3   8   17
wt  3   16  9
wt  3   32  9
wt  3   64  10
KO  1   2   0
KO  1   4   0
KO  1   8   2
KO  1   16  15
KO  1   32  23
KO  1   64  10
KO  2   2   0
KO  2   4   2
KO  2   8   2
KO  2   16  20
KO  2   32  22
KO  2   64  4
KO  3   2   0
KO  3   4   0
KO  3   8   3
KO  3   16  20
KO  3   32  21
KO  3   64  6