Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
Increase the Levels of all "F.A." monsters on the field by 2 during the Main Phase only. You can only use each of the following effects of "F.A. Off-Road Grand Prix" once per turn. ● When a "F.A." monster you control is destroyed by battle: You can discard 1 random card from your opponent's hand. ● If this face-up card on the field is destroyed by a card effect: You can add 1 "F.A." card from your Deck to your hand, except "F.A. Off-Road Grand Prix".
--F.A.オフロードGP 
--F.A. Off-Road Grand Prix
local s,id=GetID()
function s.initial_effect(c)
	--activate
	local e1=Effect.CreateEffect(c)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	c:RegisterEffect(e1)
	--lv up
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_FIELD)
	e2:SetCode(EFFECT_UPDATE_LEVEL)
	e2:SetRange(LOCATION_FZONE)
	e2:SetTargetRange(LOCATION_MZONE,LOCATION_MZONE)
	e2:SetTarget(aux.TargetBoolFunction(Card.IsSetCard,SET_FA))
	e2:SetValue(2)
	e2:SetCondition(s.lvcon)
	c:RegisterEffect(e2)
	--destroy
	local e3=Effect.CreateEffect(c)
	e3:SetDescription(aux.Stringid(id,0))
	e3:SetCategory(CATEGORY_HANDES)
	e3:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e3:SetCode(EVENT_BATTLE_DESTROYED)
	e3:SetRange(LOCATION_FZONE)
	e3:SetCountLimit(1,id)
	e3:SetCondition(s.descon)
	e3:SetTarget(s.destg)
	e3:SetOperation(s.desop)
	c:RegisterEffect(e3)
	--to hand
	local e4=Effect.CreateEffect(c)
	e4:SetDescription(aux.Stringid(id,1))
	e4:SetCategory(CATEGORY_TOHAND+CATEGORY_SEARCH)
	e4:SetType(EFFECT_TYPE_SINGLE+EFFECT_TYPE_TRIGGER_O)
	e4:SetCode(EVENT_DESTROYED)
	e4:SetProperty(EFFECT_FLAG_DELAY)
	e4:SetCountLimit(1,{id,1})
	e4:SetCondition(s.thcon2)
	e4:SetTarget(s.thtg2)
	e4:SetOperation(s.thop2)
	c:RegisterEffect(e4)
end
s.listed_names={id}
s.listed_series={SET_FA}
function s.lvcon(e)
	return Duel.IsMainPhase()
end
function s.cfilter(c,tp)
	return c:IsReason(REASON_BATTLE) and c:IsPreviousControler(tp) and c:IsPreviousSetCard(SET_FA)
end
function s.descon(e,tp,eg,ep,ev,re,r,rp)
	return eg:IsExists(s.cfilter,1,nil,tp)
end
function s.destg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.GetFieldGroupCount(tp,0,LOCATION_HAND)>0 end
	Duel.SetOperationInfo(0,CATEGORY_HANDES,0,0,1-tp,1)
end
function s.desop(e,tp,eg,ep,ev,re,r,rp)
	local g=Duel.GetFieldGroup(tp,0,LOCATION_HAND,nil)
	if #g==0 then return end
	local sg=g:RandomSelect(1-tp,1)
	Duel.SendtoGrave(sg,REASON_DISCARD|REASON_EFFECT)
end
function s.thcon2(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	return c:IsReason(REASON_EFFECT) and c:IsPreviousLocation(LOCATION_ONFIELD) and c:IsPreviousPosition(POS_FACEUP)
end
function s.thfilter2(c)
	return c:IsSetCard(SET_FA) and not c:IsCode(id) and c:IsAbleToHand()
end
function s.thtg2(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsExistingMatchingCard(s.thfilter2,tp,LOCATION_DECK,0,1,nil) end
	Duel.SetOperationInfo(0,CATEGORY_TOHAND,nil,1,tp,LOCATION_DECK)
end
function s.thop2(e,tp,eg,ep,ev,re,r,rp)
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_ATOHAND)
	local g=Duel.SelectMatchingCard(tp,s.thfilter2,tp,LOCATION_DECK,0,1,1,nil)
	if #g>0 then
		Duel.SendtoHand(g,nil,REASON_EFFECT)
		Duel.ConfirmCards(1-tp,g)
	end
end