Thanks a lot! I will look into that!For 2mApk through the maximum load resistance of 1k requires a peak voltage of 2V.
The lmh6629 op amp has a maximum output of 4V (below) with a 5V supply voltage (6V max), and thus only 1.5Vpk with a ±2.5V supply.
You need a higher voltage rated op amp, assuming you need a bipolar plus and minus output current.
View attachment 185852