There are two (2) of the Apostles, James the Son of Alphaeus and Simon the Zealot, that we have zero, nada, nothing written about them in the New Testament other than their names mentioned in the four lists of the Apostles.
We have nothing on their meeting Jesus or their conversion. No questions are asked of Christ nor does Jesus address them in the NT.
Does that mean that these two were not important to Jesus Christ or the LORD God?
Interested to hear your comments.

Yes, all the apostles were important to Jesus. Lk. 6:12-16 tells us that Jesus continued all night in prayer to God before he choose or ordained the twelve out of all the disciples. God choose them and Jesus called them.
They were to be with Jesus that he might send them out to preach "the kingdom of heaven is at hand"; he also gave them power to heal sicknesses and to cast out devils or unclean spirits (Matt. 10:5-8; Mk. 3:14-15, 6:7; Lk. 9:1-2).
They served him the rest of their lives. Jesus refers to them by name many times through out the gospels and does not just refer to them as a group like he does the disciples that followed him. He has also preserved a written account of them in the Bible for all future generations to read.
Revelation 22:14 says the wall of the city, of new Jerusalem that comes from God out of heaven, had twelve foundations, and in them the names of the twelve apostles of the Lamb.
Yes they were important. We are all important to Him. Maybe they were a little more mature and didn't need to ask a lot of questions to carry out what He wanted them to do.
Let me try again tomorrow. Is that ok?
Next time I see you if you have time maybe you could look at my phone and see maybe what I have done wrong. It has to be me.
Let me check.
I wrote an answer but it said there was a problem and didn't post. Sorry.
I hope they were important to Him! If they weren't important I may not be either. Just because there isn't much written about them doesn't mean they weren't important. There are thousands of churches in the USA, I would bet most people can't name 10 pastors. Does that mean those other pastors aren't important? Or Christians that aren't pastors are not important? Every Christian is important to God, we are the example to the world of Him. These 2 men took the gospel to parts of the world that had no idea about Jesus, just because it isn't written down doesn't make it any less significant. And just another thought, Jesus taught that the least on earth would be the greatest in Heaven, maybe these 2 were the most humble out of the 12, didnt like the spotlight and just did the stuff in the background that noone gets recognition for. Maybe they knew their reward was in heaven and didn't need to stand out among the 12.