It’s so rough when they get a cold so young. My 1st born caught a visitors cold at 2wks old, was awful to see him struggling.
Keep breastfeeding. Your little one will be getting antibodies from you to speed up recovery and the act of nursing will provide him with comfort and pain relief. Also the added bonus of an oxytocin hit for you when he latches - mood booster.
Unless he gets a temperature or has breathing difficulties, there’s not much you can do for them at this age other than keep them hydrated and lots of cuddles.
If he has a lot of mucous and a blocked nose, you can use a saline spray to loosen it and a bulb aspirator to remove some of the mucous. Olbas Oil make a baby safe version which can help. All are available in Boots and the bigger supermarkets.
For you, lots of fluids and nutrition to help support your immune system. Milk production isn’t likely impacted, but if you’re struggling with nutrition, your body will pinch it from your own stores. A good multivitamin can help keep you ‘topped up’
Signs to look out for - sunken fontanelle (soft spot) mottling (if your baby doesn’t usually have mottled skin), dry sunken eyes, lack of moisture on lips and mouth, temperature, lethargy and struggling to wake/stir and retracted breathing (when the skin around their ribs and neck visibly sucks in) - if you spot this, go straight to A&E
When it comes to your baby, don’t feel like you’re being a nuisance contacting medical professionals for help. They’d prefer you were cautious.
Hope you both feel better soon xx