To what to you attribute those rate increases?
For the years 2010 to 2017, the homicide rate averaged 4.8. The last decade with a homicide rate anywhere near that low was in the 1960s, where the average homicide rate was 5.5. If we look at just 1960-1967, the average homicide rate was 5.1.
FBI UCR numbers found here:
United States Crime Rates 1960 - 2017
Prior to 1968, you could order long arms through the mail, including military surplus semiautomatic magazine fed rifles, delivered to your house, without a background check. Felons, drug users and the mentally incompetent were allow to possess guns. Machine guns were available for purchase.
Since then we've added the Gun Control Act of 1968, the Brady Act, the Hughes Amendment, the Lautenberg Amendment and many, many state laws restricting the rights of the people to keep and bear arms, and it's take 50 years to get back to a homicide rate where the only laws were the extra $200 charge for a machine gun tax stamp.
The ATF doesn't have manufacturing data prior to 1986 readily available, so we'll just use what we can get and take a mathematically conservative position that zero guns were made in the US between 1960 and 1986. From the ATF link below, we see that manufacturers in the US made just over 150 million guns from 1986 to 2016, exported almost 9 million and we imported another 67 million for a net growth of guns in the US of 213 million. Some of those went to military and LEO use, but we know the population numbers of those demographics and those numbers wouldn't make a material impact on the total figure.
In conclusion, even with all of the new laws we are just back to 1960s levels of homicide while increasing the number of guns in the US by about 200 million.
https://www.atf.gov/file/130436/download