That Athlon 64 x2 is OLD. I doubt it'll fare well with the 1060. A 2005 CPU with a 2016 card? No.
You better upgrade that AM2 Motherboard and that CPU to either Intel or Ryzen, though Ryzen is better on the market.
If you go for AMD, a Ryzen 2400g APU, or a Ryzen 5 1400 with a 1030 or 1050. My recommendation for the motherboard is either a Gigabyte, Asrock, or Asus. MSI is known to conflict with AMD, but is still a choice. The Veriton is a mini-atx so keep that in mind. The Asrock A320M is good option for budget.
If you go for Intel, a i3 would be good, maybe the i3-8100. The 8100 is an APU, but you can choose to with an 1030 or 1050 TI. The MSI H310I Pro is good, aswell as the Asrock H310M to fit into a small budget.
RAM too though, so you could get a cheap T-Force 4x2 or a G.Skill Aegis or Ripjaws X. 288 pin.
Forget about the 1060.
New system will cost around $500-600 USD or 400 sterling depending on where you're living.
Short version:
The CPU is trash. Replace everything.