Depends really, dexamethazone is doesnt bind to the DNA rather in the glucocorticoid receptor homodimer which is an transcriptional regulator, to identify the transcription factor binding regions u need to do a CHIP-seq and expression a RNA-seq. Statistical try R, has plenty of packages like 'chipseq', and 'DEseq', 'edgeR' for RNA seq. Hope that answers the question
The GRE can vary - the only way to be sure that the glue -R binds to your miR cluster promoter is to do ChIP. Software will only predict the possibility.
You may try to use existing glucocorticid receptor ChIP-seq datasets in various cell lines and liver to assess whether GR bind to the to genomic region for your interest. However, this may require help from an expert bioinformatician.