I have just gotton over a bout of the flu- the flu & m/s are not a good combination and made for an awful week. The main thing to watch for is a fever......I ended up going to the GP about something else and mentioned to her about how sick I was feeling and she said that I had the flu and took my temperature which was slightly higher than 38c and just double checked that the babies heartbeat was OK (which of course she had difficultly finding and I ended up being sent to my MW to double check it was all OK).
I think you are able to take antibiotices for the cough....I have to go back tomorrow and get some as I have had a bad cough for 2 weeks now and GP said to come back early this week if it was still there and she would give me something for it. Other than that, I did find some manaka honey cough syrup at the pharmacy which they told me was safe for pregnancy and got some manaka honey thoat lozones (which tasted so nice).
hope you get better soon.