unfortunately I own the modem but am prepared to purchase a new one.
So to recheck if I purchase a 4 port wired modem then plug in as is & add wireless router for my phone and printer would that solve my issue?
All you need is a inexpensive router with WiFi. They can be bought for as little as US$20 with a four port Ethernet LAN switch built in. Plug the Dlink into one Ethernet LAN port and adjust the settings on the new router to nullify its router side and let the old Dlink handle that.
Or, of course, you could get an expensive WiFi router and potentially get better WiFi from it. Or get an all in one with a cable modem built in and have only one piece of equipment to manage.