Grasshoppers completely decimated my early planted carrots this year. I did manage to get some late carrots out of my Green Stalk tower. I did still get some damage on the tops, but not that much.For price of seed tapes I can buy several ounces of carrots and beets that lasts me several years. I plant nantes and danvers carrots, detroit red beets.
For carrots try this. Plant your rows of carrots in a shallow furrow and inter space radish seeds every foot or so. The radish will germinate faster and shade the carrots which need to stay moist to germinate and take much longer. The radish also mark the carrot rows. As the radish get edible the carrots will be established, and you can pick the radish. Then start to thin the carrots.
Worst problem I have with carrots is keeping ALL the nearby weeds plucked until the carrots get established. Well, that and animal pests........