A previous history of chickenpox disease, even recent disease, is not known to interfere with the immune response to different vaccines. To review the true contraindications and precautions to vaccination, consult Immunize.org’s “Guide to Contraindications and Precautions to Commonly Used Vaccines” at www.immunize.org/catg.d/p3072a.pdf.
Another helpful resource is CDC’s “General Best Practice Guidelines for Immunization”. It contains a useful table titled “Conditions incorrectly perceived as contraindications or precautions to vaccination (i.e., vaccines may be given under these conditions)”. The table is available at www.cdc.gov/vaccines/hcp/acip-recs/general-recs/contraindications.html, Table 4-2.