Both of the heart tests your doctor has advised are simple, external screening tests with no radiation, so having them done now is completely safe for you and your baby. Doctors often ask for this kind of heart screening in pregnancy as a routine precaution. It's common after a long gap since marriage, or simply to check how your heart is coping with pregnancy's added workload. Being asked to do them doesn't mean anything is wrong.
Next Steps
Please go ahead with both tests as advised, and carry the reports along to your next prenatal checkup.
Health Tips
If either report shows anything unusual, please see your obstetrician, who will involve a cardiologist for further review and guide your pregnancy plan from there.