1) I am confused about the limits people place on differentially
expressed genes (DEGs). So far, I have only filtered for the adjusted
p-value to isolate significantly differentiated genes. However, I
don't know if I should impose a cut-off for the log2fold change?
There is no "rule" per se, however, most people will use an adjusted p-value of < 0.05 and a log2FC > |1|. The log2FC cut-off is applied to help reduce the DEG list to only the most biologically relevant --- this is similar to the cut-off that is applied to other experiments such as western blots or RT-qPCR.
3)Is it possible to filter the DEGs to isolate mitochondrial genes?
For example, taking a list such as a list of mitochondrial genes from
MitoCarta, is it possible to parse that through R and isolate the
results that correspond to the list?
Yes, as @Ram said you can leverage the chrM/MT suffix and identify mitochondrial genes it with a filter(grepl()) command.
It is better to set cut off/threshold for log2FC beside adjusted p-values to say your genes are DE in your test compared to control samples. People usually set log2FC value from -1/-2 to 1/2, but it is not universal criteria. You can chose threshold what is the best for your data.
Please check in this link below. You can use
biomartan R package for this.How to use biomart on R to convert Ensembl Gene IDs to Symbols?
Yes it is very easy in R. There are different ways of doing it. In one way you can make a list of mitochondrial genes and merge with your DESeq2 results and get your result.