1.
Error: Invalid mod name '1Новая папка'! Characters allowed: (_, A-Z, a-z, 0-9). The first character must not be a digit
что она там делает?

2.
Error: Failed to open xml file C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/DOPFS13/modDesc.xml'
Error: Missing descVersion attribute in mod DOPFS13
и
Error: Failed to open xml file C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/MORE_REALISTIK/modDesc.xml'
Error: Missing descVersion attribute in mod MORE_REALISTIK
проверьте все ли специализации прописаны

3.
Error: Can't load resource: C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/don/script/EasyFlowAreaEvent.lua
и
Error: Can't load resource: C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/Kirovec_k744p3/BJR_ManualIgnition.lua
и
Error: Can't load resource: C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/KsK100/manualIgnition.lua
и
Error: Can't load resource: C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/MMZ/scripts/VariableTrailerEvent.lua
и
Error: Can't load resource: C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/MMZ/scripts/VariableTip.lua
проверьте наличие данных скриптов и правильность прописки путей к ним

4.
Error: Same class name used multiple times mtz82.toggleAnimEvent
коряво прописан скрипт

5.
Error: Can't load resource: C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/PRT_10v3/Scripts/VariableTip.lua
проверьте наличие скрипта и правильность прописки пути к нему

6.
Error: C:/Users/User/Documents/My Games/FarmingSimulator2013/savegame2/vehicles.xml(7): Error parsing Element.
об этом чуть ниже

7
Error: failed to load i3d file 'C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/MTZ_82_Stogomet/MTZ/upperLink.i3d'
проверьте наличие файла и правильность прописки пути к нему

8.
Error: LUA running function 'keyEvent'
D:/code/lsim2013_desktop/build/finalbin/dataS/scripts/InputBinding.lua(63) : attempt to index field '?' (a nil value)
непонятно к какому моду?

9.
C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/mtz82/manualIgnition.lua(172) : attempt to call method 'onDeactivateAttachements' (a nil value)
коряво прописан стартер

10.
Error: Out-dated custom shader. 'C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/KSK100A/lamp.xml' has version 1. Please convert this file to version 2.
Error: Out-dated custom shader. 'C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/PRT_10/Texstures/ScrollShader.xml' has version 1. Please convert this file to version 2.
Error: Out-dated custom shader. 'C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/PRT_10/particleSystems/Particel.xml' has version 1. Please convert this file to version 2.
Error: Out-dated custom shader. 'C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/PRT_10/particleSystems/particleSystemShader.xml' has version 1. Please convert this file to version 2.
Error: Out-dated custom shader. 'C:/Users/User/Documents/My Games/FarmingSimulator2013/mods/PRT_10v3/Texstures/ScrollShader.xml' has version 1. Please convert this file to version 2.
замените шейдеры на новые (выдерите их из нормальных модов). как вариант - заменить версию с 1 на 2.