I don’t think the speaker has gone out on your hearing aid in the first week. If by chance it is a bad speaker, your audiologist should have spares to change it out for you. The standard receiver you may be using is sufficient for your degree of hearing loss and shouldn’t malfunction for a very long time when properly cared for (although moisture, wax and dogs are arch-enemies of hearing aids and receivers).
If you are experiencing the clicking/popping while you are at your audis office, ask if you can get a demo aid programmed with the same settings you have in your right aid. That way you can be for certain if it is your new aid malfunctioning or not.
Did your audiologist run a Speech Mapping verification with your hearing aids? This test will measure how the hearing aids are performing in your ear canals in relation to your hearing loss (Phonaks are actually pretty spot on when it comes to this test but it’s good to be sure). Since the important frequencies for conversational speech goes up to 4k, you will notice from the Speech Mapping results that the amplification starts to roll-off after 4k. Therefore, in my opinion I do not believe that the 6k and above frequencies are being over-amplified.
When you go in to see your audiologist, you may want to see what level your hearing aids are set to. Your aids should be turned down initially since you are a first time user. Over a period of time, your audi will slowly increase the amplification as your brain gets acclimated to the new sounds. Sending someone out at target/100% prescription and telling the user to “just get use to it” is just asking for a return. Also, your hearing isn’t symmetrical so (for example) it’s not uncommon to have the better ear set at 80% and the ear with more loss set lower to 60-70%.
Are the overall soft to mid volume high frequency sounds comfortable like the newspaper or water running? And is it just the louder sounds you mentioned that is causing the clicking/popping? Then there’s the possibility of recruitment where a compression adjustment is needed.
Sometimes the SoundRecover feature you have in your hearing aid may make the high frequencies sound artificial whereas turning it off may help (although SoundRecover is an awesome feature, some users don’t adjust well to it).
Overall, I would start by just turning down your right hearing aid and go from there.